Centrul de greutate al unei figuri convexe

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Beniamin Bogosel
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Centrul de greutate al unei figuri convexe

Post by Beniamin Bogosel »

Care este numarul maxim \( k \) natural astfel incat oricare ar fi o figura convexa exista \( k \) coarde care trec prin centrul sau de greutate si acesta este mijlocul comun al coardelor respective.
Last edited by Beniamin Bogosel on Sat Mar 14, 2009 9:50 pm, edited 1 time in total.
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Beniamin Bogosel
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Post by Beniamin Bogosel »

Daca ne uitam la un triunghi, putem vedea ca \( k \leq 3 \).
Pentru solutie vezi aici
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But today is a gift.
That's why it's called present. :)

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